statistic problem

this appointment is for autograph cipher on Rstudio, and abide in "html" Problem 1 The commodity "Multiple Beeline Corruption for Lake Ice and Lake Temperature Characteristics" by Gao & Stefan (1999) presents abstracts on the best ice array in mm (Thickness), boilerplate cardinal of canicule per year of ice awning (DaysIceCover), boilerplate cardinal of canicule the low temperature is beneath 8 degrees centrigrade (DaysLessThan8) and the boilerplate snow abyss in mm (AvgSnowdepth) for 13 lakes in Minnesota. The abstracts are in the file iceThickness.csv. Construct a scatterplot cast for the variables in this data. Describe/discuss the four variables of the dataset and any doubtable relationships you may see.  Fit a assorted corruption archetypal area Array is the acknowledgment capricious and the alternative three variables are predictors Assess the basal assumptions for the archetypal you fit in 2. Does the archetypal (collectively) decidedly adumbrate the array of the ice? (Justify by referencing specific output). What percent of the capricious in ice array is explained by the model? (reference specific output) Answer the question: Do lakes with greater boilerplate snow abyss tend to accept greater or bottom best ice thickness? In acclamation this catechism amuse explain your account and any limitations/caveats in your response. Problem 2 The SAT is a connected academy access assay taken by abounding aerial academy acceptance beyond the United States. In assertive regions, the SAT is a accepted assay acclimated in academy admissions, while in alternative regions the ACT or alternative metrics are acclimated for academy admissions. Thus, the allotment of acceptance demography the SAT varies abundantly by accompaniment and region. The file stateSATscores.csv contains boilerplate SAT array for anniversary of the 50 states in the USA for the year 1997 forth with several alternative variables (State name; Amount - amount per adherent in boilerplate circadian appearance in accessible elementary and accessory schools; PT.Ratio - the boilerplate adherent to abecedary arrangement in accessible schools; Bacon - the estimated boilerplate bacon of accessible academy agents in the state; PercentSAT - the allotment of acceptance electing to booty the SAT exam; Verbal - the boilerplate Verbal blended score; Math - the boilerplate Mathematics blended score; and SAT - the boilerplate blended SAT score).  Perform the afterward with this data: Construct a scatterplot area the x-axis it the Percent demography the SAT assay and the y-axis is the boilerplate blended SAT score. Describe the accord you see. Fit a simple beeline corruption archetypal area the acknowledgment is the blended SAT account and the augur is the Percent of acceptance demography the SAT. Construct balance analytic plots of that fit. What do you apprehension in the Residuals vs Adapted plot? Create a new capricious to the dataset that is the aboveboard basis of the Percent of Acceptance demography the SAT exam. Fit a assorted corruption archetypal area the acknowledgment is the blended SAT account with two predictors: the percent of acceptance demography the assay and the aboveboard basis of that allotment (the capricious you created in allotment 3). Construct balance analytic plots of that fit. What do you apprehension in the Residuals vs Adapted plot? Determine if the adapted archetypal in allotment 4 is a cogent archetypal to adumbrate blended SAT scores.  (reference specific output) What allotment of the airheadedness in blended SAT array is explained by the archetypal you fit in allotment 4? (reference specific output) We are absorbed in free if apprentice expenditures, pupil-teacher ratios, and abecedary bacon access SAT array back accounting for the allotment who booty the SAT. Fit a assorted corruption archetypal area the augur variables accommodate the percent demography the SAT, the aboveboard basis of that allotment (created in allotment 3), the expenditures, pupil-teacher ratio, and abecedary salary. Compare/contrast this adapted archetypal to that in allotment 4. Do you feel that expenditures, pupil-teacher ratios or abecedary bacon adumbrate SAT array already accounting for the cardinal of acceptance demography the SAT exam? Advertence specific achievement from the adapted archetypal to abode this question.

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